Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci, "A new class of linear operators on and Schur multipliers for them", Journal of Function Spaces, vol. 5, Article ID 949161, 15 pages, 2007. https://doi.org/10.1155/2007/949161
A new class of linear operators on and Schur multipliers for them
We introduce the space of linear (unbounded) operators on which map decreasing sequences from into sequences from and we find some classes of operators belonging either to or to the space of all Schur multipliers on . For instance we show that the space of all bounded operators on is contained in the space of all Schur multipliers on .
Copyright © 2007 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.